Self-Similar Properties of the Proton Structure at Low x within the \textbf{xFitter} framework

TL;DR

This paper investigates the fractal, self-similar properties of proton structure at low x using the xFitter framework, revealing insights into the proton's internal complexity and informing high-energy physics models.

Contribution

It introduces a fractal formalism to parameterize proton structure functions at low x within the xFitter framework, incorporating new data to enhance analysis accuracy.

Findings

Proton structure exhibits fractal, self-similar behavior at low x.

Higher fractal dimensions correlate with increased informational content.

Inclusion of new data refines the fractal analysis results.

Abstract

The structure of the proton exhibits Fractal behavior at low \textit{x}, where \textit{x} is the fraction of the proton's momentum carried by the interacting partons. This Fractal behavior is characterized by self-similar properties at different scales and can be quantified using the concept of Fractal dimension. An investigation into the Fractal properties of the proton structure at low \textit{x} is critical for understanding the fundamental properties of the strong force and developing a more comprehensive understanding of the hadron structure. Fractals, characterized by self-similar patterns across scales, demonstrate a direct correlation between their Fractal dimension and entropy, where higher Fractal dimensions correspond to increased informational content. Furthermore, it is essential for designing high-energy physics experiments and developing more accurate models of subatomic particle interactions. This paper has a fresh look at the self-similar properties of the proton structure at low \textit{x}. Our study involves the use of the \textbf{xFitter} framework to parameterize the proton structure functions with a Fractal formalism at low \textit{x}. We also examine how the inclusion of new data affects the results of our analysis.